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Finding the Third Proportional to 294,321 and 615,291

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Solution

The third proportional to 294,321 and 615,291 is: 1,286,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,321 : 615,291 = 615,291 : x
  2. Step 2: Convert to fraction form
    294,321/615,291 = 615,291/x
  3. Step 3: Cross multiply
    294,321x = 615,291 × 615,291
  4. Step 4: Simplify right side
    294,321x = 378,583,014,681
  5. Step 5: Solve for x
    x = 378,583,014,681/294,321
  6. Step 6: Final answer
    x = 1,286,292.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.